31513212105312 has 96 divisors (see below), whose sum is σ = 100100791429632. Its totient is φ = 8474141067264.

The previous prime is 31513212105283. The next prime is 31513212105313. The reversal of 31513212105312 is 21350121231513.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×31513212105312³ (a number of 41 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 31513212105312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31513212105313) 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, 1379243308 + ... + 1379266155.

It is an arithmetic number, because the mean of its divisors is an integer number (1042716577392).

Almost surely, 2^{31513212105312} is an apocalyptic number.

31513212105312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

31513212105312 is an abundant number, since it is smaller than the sum of its proper divisors (68587579324320).

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

31513212105312 is a wasteful number, since it uses less digits than its factorization.

31513212105312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2758509500 (or 2758509492 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

Adding to 31513212105312 its reverse (21350121231513), we get a palindrome (52863333336825).

The spelling of 31513212105312 in words is "thirty-one trillion, five hundred thirteen billion, two hundred twelve million, one hundred five thousand, three hundred twelve".