313121002101000 has 128 divisors (see below), whose sum is σ = 977038115189760. Its totient is φ = 83490336576000.

The previous prime is 313121002100969. The next prime is 313121002101073. The reversal of 313121002101000 is 101200121313.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23794537 + ... + 34531463.

It is an arithmetic number, because the mean of its divisors is an integer number (7633110274920).

Almost surely, 2^{313121002101000} is an apocalyptic number.

313121002101000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

313121002101000 is an abundant number, since it is smaller than the sum of its proper divisors (663917113088760).

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

313121002101000 is a wasteful number, since it uses less digits than its factorization.

313121002101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10746672 (or 10746658 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 313121002101000 its reverse (101200121313), we get a palindrome (313222202222313).

The spelling of 313121002101000 in words is "three hundred thirteen trillion, one hundred twenty-one billion, two million, one hundred one thousand".