31213323210000 has 1200 divisors, whose sum is σ = 108898598793600. Its totient is φ = 7690733568000.

The previous prime is 31213323209993. The next prime is 31213323210109. The reversal of 31213323210000 is 1232331213.

It is a tau number, because it is divible by the number of its divisors (1200).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 86945189821 + ... + 86945190179.

It is an arithmetic number, because the mean of its divisors is an integer number (90748832328).

Almost surely, 2^{31213323210000} is an apocalyptic number.

31213323210000 is a gapful number since it is divisible by the number (30) 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 31213323210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54449299396800).

31213323210000 is an abundant number, since it is smaller than the sum of its proper divisors (77685275583600).

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

31213323210000 is a wasteful number, since it uses less digits than its factorization.

31213323210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 566 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 31213323210000 its reverse (1232331213), we get a palindrome (31214555541213).

The spelling of 31213323210000 in words is "thirty-one trillion, two hundred thirteen billion, three hundred twenty-three million, two hundred ten thousand".