131616223431 has 128 divisors (see below), whose sum is σ = 234881482752. Its totient is φ = 63528960000.

The previous prime is 131616223423. The next prime is 131616223511. The reversal of 131616223431 is 134322616131.

It is not a de Polignac number, because 131616223431 - 2³ = 131616223423 is a prime.

It is a super-2 number, since 2×131616223431² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 131616223392 and 131616223401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131616223421) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 55981906 + ... + 55984256.

It is an arithmetic number, because the mean of its divisors is an integer number (1835011584).

Almost surely, 2^131616223431 is an apocalyptic number.

131616223431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

131616223431 is a deficient number, since it is larger than the sum of its proper divisors (103265259321).

131616223431 is a wasteful number, since it uses less digits than its factorization.

131616223431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2693.

The product of its digits is 15552, while the sum is 33.

Adding to 131616223431 its reverse (134322616131), we get a palindrome (265938839562).

The spelling of 131616223431 in words is "one hundred thirty-one billion, six hundred sixteen million, two hundred twenty-three thousand, four hundred thirty-one".