313021012210000 has 100 divisors (see below), whose sum is σ = 757864006553412. Its totient is φ = 125206945408000.

The previous prime is 313021012209979. The next prime is 313021012210009. The reversal of 313021012210000 is 12210120313.

It can be written as a sum of positive squares in 10 ways, for example, as 85260033780496 + 227760978429504 = 9233636^2 + 15091752^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313021012210009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1379216532 + ... + 1379443468.

Almost surely, 2^{313021012210000} is an apocalyptic number.

It is an amenable number.

313021012210000 is an abundant number, since it is smaller than the sum of its proper divisors (444842994343412).

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

313021012210000 is a wasteful number, since it uses less digits than its factorization.

313021012210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364898 (or 364877 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 313021012210000 its reverse (12210120313), we get a palindrome (313033222330313).

The spelling of 313021012210000 in words is "three hundred thirteen trillion, twenty-one billion, twelve million, two hundred ten thousand".