31213363364352 has 800 divisors, whose sum is σ = 105170552403840. Its totient is φ = 9151682641920.

The previous prime is 31213363364341. The next prime is 31213363364377. The reversal of 31213363364352 is 25346336331213.

31213363364352 is a `hidden beast` number, since 3 + 1 + 2 + 1 + 3 + 3 + 633 + 6 + 4 + 3 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 31213363364298 and 31213363364307.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 950480349 + ... + 950513187.

Almost surely, 2^{31213363364352} is an apocalyptic number.

31213363364352 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31213363364352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52585276201920).

31213363364352 is an abundant number, since it is smaller than the sum of its proper divisors (73957189039488).

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

31213363364352 is a wasteful number, since it uses less digits than its factorization.

31213363364352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32966 (or 32941 counting only the distinct ones).

The product of its digits is 2099520, while the sum is 45.

Adding to 31213363364352 its reverse (25346336331213), we get a palindrome (56559699695565).

The spelling of 31213363364352 in words is "thirty-one trillion, two hundred thirteen billion, three hundred sixty-three million, three hundred sixty-four thousand, three hundred fifty-two".