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131011433403131 = 2383262372615707
BaseRepresentation
bin11101110010011101111001…
…111100110001001011111011
3122011212120102001101202211002
4131302131321330301023323
5114132442403422400011
61142345453245555215
736411156310606361
oct3562357174611373
9564776361352732
10131011433403131
1138820700771116
121283aa87b75b0b
13581442c4b3908
14244cdb6c93631
151022d9495ec3b
hex772779f312fb

131011433403131 has 16 divisors (see below), whose sum is σ = 138359988152064. Its totient is φ = 123800695359264.

The previous prime is 131011433403091. The next prime is 131011433403143. The reversal of 131011433403131 is 131304334110131.

It is a cyclic number.

It is not a de Polignac number, because 131011433403131 - 234 = 130994253533947 is a prime.

It is a super-2 number, since 2×1310114334031312 (a number of 29 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 = 131011433403094 and 131011433403103.

It is not an unprimeable number, because it can be changed into a prime (131011433403031) 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, 48778580 + ... + 51394286.

It is an arithmetic number, because the mean of its divisors is an integer number (8647499259504).

Almost surely, 2131011433403131 is an apocalyptic number.

131011433403131 is a deficient number, since it is larger than the sum of its proper divisors (7348554748933).

131011433403131 is a wasteful number, since it uses less digits than its factorization.

131011433403131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2642050.

The product of its (nonzero) digits is 3888, while the sum is 29.

Adding to 131011433403131 its reverse (131304334110131), we get a palindrome (262315767513262).

The spelling of 131011433403131 in words is "one hundred thirty-one trillion, eleven billion, four hundred thirty-three million, four hundred three thousand, one hundred thirty-one".

Divisors: 1 23 83 1909 26237 603451 2177671 2615707 50086433 60161261 217103681 4993384663 68628304559 1578451004857 5696149278397 131011433403131