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131131201002131 = 11734571301274661
BaseRepresentation
bin11101110100001101011100…
…101001111001101010010011
3122012022000112212021012002002
4131310031130221321222103
5114141423144424032011
61142520501521144215
736422626255446011
oct3564153451715223
9565260485235062
10131131201002131
11388674804229a0
121285a131a8b06b
1358228084aaba5
142454ad93c18b1
15102605430ac3b
hex77435ca79a93

131131201002131 has 32 divisors (see below), whose sum is σ = 145441386530496. Its totient is φ = 117229282560000.

The previous prime is 131131201002073. The next prime is 131131201002203. The reversal of 131131201002131 is 131200102131131.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-131131201002131 is a prime.

It is a super-2 number, since 2×1311312010021312 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131131201032131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 477291941 + ... + 477566601.

It is an arithmetic number, because the mean of its divisors is an integer number (4545043329078).

Almost surely, 2131131201002131 is an apocalyptic number.

131131201002131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

131131201002131 is a deficient number, since it is larger than the sum of its proper divisors (14310185528365).

131131201002131 is a wasteful number, since it uses less digits than its factorization.

131131201002131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276503.

The product of its (nonzero) digits is 108, while the sum is 20.

Adding to 131131201002131 its reverse (131200102131131), we get a palindrome (262331303133262).

The spelling of 131131201002131 in words is "one hundred thirty-one trillion, one hundred thirty-one billion, two hundred one million, two thousand, one hundred thirty-one".

Divisors: 1 11 73 457 803 1301 5027 14311 33361 94973 274661 366971 594557 1044703 3021271 6540127 20050253 43402661 125520077 220552783 357333961 477429271 1380720847 3930673571 9162965621 26085379153 100792621831 163301620177 286939170683 1796317821947 11921018272921 131131201002131