131134013312 has 64 divisors (see below), whose sum is σ = 270430498800. Its totient is φ = 63264251904.

The previous prime is 131134013299. The next prime is 131134013429. The reversal of 131134013312 is 213310431131.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×131134013312² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6028568 + ... + 6050280.

Almost surely, 2^131134013312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131134013312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135215249400).

131134013312 is an abundant number, since it is smaller than the sum of its proper divisors (139296485488).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131134013312 is a wasteful number, since it uses less digits than its factorization.

131134013312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23383 (or 23371 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 131134013312 its reverse (213310431131), we get a palindrome (344444444443).

The spelling of 131134013312 in words is "one hundred thirty-one billion, one hundred thirty-four million, thirteen thousand, three hundred twelve".