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131001233210133 = 311131817732182529
BaseRepresentation
bin11101110010010100011001…
…111110000111101100010101
3122011211121002011221021112020
4131302110121332013230111
5114132311011200211013
61142341045152243353
736410345452444356
oct3562243176075425
9564747064837466
10131001233210133
1138817346a52150
1212838abbb40559
1358134951a2360
14244c6ca2dbd2d
15102299920a623
hex772519f87b15

131001233210133 has 64 divisors (see below), whose sum is σ = 206605483418880. Its totient is φ = 72788181811200.

The previous prime is 131001233210123. The next prime is 131001233210153. The reversal of 131001233210133 is 331012332100131.

It is not a de Polignac number, because 131001233210133 - 29 = 131001233209621 is a prime.

It is a super-2 number, since 2×1310012332101332 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131001233210123) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 58931413 + ... + 61113941.

It is an arithmetic number, because the mean of its divisors is an integer number (3228210678420).

Almost surely, 2131001233210133 is an apocalyptic number.

131001233210133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

131001233210133 is a deficient number, since it is larger than the sum of its proper divisors (75604250208747).

131001233210133 is a wasteful number, since it uses less digits than its factorization.

131001233210133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2183510.

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 131001233210133 its reverse (331012332100131), we get a palindrome (462013565310264).

The spelling of 131001233210133 in words is "one hundred thirty-one trillion, one billion, two hundred thirty-three million, two hundred ten thousand, one hundred thirty-three".

Divisors: 1 3 11 13 33 39 143 181 429 543 773 1991 2319 2353 5973 7059 8503 10049 25509 25883 30147 77649 110539 139913 331617 419739 1539043 1818869 2182529 4617129 5456607 6547587 20007559 24007819 28372877 60022677 72023457 85118631 312101647 395037749 936304941 1185113247 1687094917 4345415239 5061284751 5135490737 13036245717 15406472211 18558044087 21932233921 55674132261 56490398107 65796701763 169471194321 241254573131 305364179977 723763719393 916092539931 3359005979747 3969734339701 10077017939241 11909203019103 43667077736711 131001233210133