13031313152312 has 96 divisors (see below), whose sum is σ = 30242147680800. Its totient is φ = 5154451241472.

The previous prime is 13031313152311. The next prime is 13031313152317. The reversal of 13031313152312 is 21325131313031.

13031313152312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×13031313152312³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13031313152311) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63391358 + ... + 63596594.

It is an arithmetic number, because the mean of its divisors is an integer number (315022371675).

Almost surely, 2^{13031313152312} 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 13031313152312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15121073840400).

13031313152312 is an abundant number, since it is smaller than the sum of its proper divisors (17210834528488).

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

13031313152312 is a wasteful number, since it uses less digits than its factorization.

13031313152312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211985 (or 211968 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 29.

Adding to 13031313152312 its reverse (21325131313031), we get a palindrome (34356444465343).

The spelling of 13031313152312 in words is "thirteen trillion, thirty-one billion, three hundred thirteen million, one hundred fifty-two thousand, three hundred twelve".