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131330113031 = 1381115238179
BaseRepresentation
bin111101001001111100…
…0100111111000000111
3110112222121202222200102
41322103320213320013
54122431002104111
6140155432034315
712326324353625
oct1722370477007
9415877688612
10131330113031
11507734747a7
122155223299b
13c4cc624070
1464dbdc8515
153639a0113b
hex1e93e27e07

131330113031 has 16 divisors (see below), whose sum is σ = 141717125760. Its totient is φ = 120984023520.

The previous prime is 131330113001. The next prime is 131330113043. The reversal of 131330113031 is 130311033131.

It is a cyclic number.

It is not a de Polignac number, because 131330113031 - 210 = 131330112007 is a prime.

It is a super-2 number, since 2×1313301130312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 131330112994 and 131330113012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131330113001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16052900 + ... + 16061078.

It is an arithmetic number, because the mean of its divisors is an integer number (8857320360).

Almost surely, 2131330113031 is an apocalyptic number.

131330113031 is a deficient number, since it is larger than the sum of its proper divisors (10387012729).

131330113031 is a wasteful number, since it uses less digits than its factorization.

131330113031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10526.

The product of its (nonzero) digits is 243, while the sum is 20.

Adding to 131330113031 its reverse (130311033131), we get a palindrome (261641146162).

The spelling of 131330113031 in words is "one hundred thirty-one billion, three hundred thirty million, one hundred thirteen thousand, thirty-one".

Divisors: 1 13 811 1523 8179 10543 19799 106327 1235153 6633169 12456617 16056989 86231197 161936021 10102316387 131330113031