20121313313010 has 256 divisors, whose sum is σ = 61294981321728. Its totient is φ = 4113491558400.

The previous prime is 20121313312993. The next prime is 20121313313027. The reversal of 20121313313010 is 1031331312102.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20121313312993) and next prime (20121313313027).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 23930130 + ... + 24756690.

It is an arithmetic number, because the mean of its divisors is an integer number (239433520788).

Almost surely, 2^{20121313313010} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20121313313010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30647490660864).

20121313313010 is an abundant number, since it is smaller than the sum of its proper divisors (41173668008718).

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

20121313313010 is a wasteful number, since it uses less digits than its factorization.

20121313313010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 826869.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 20121313313010 its reverse (1031331312102), we get a palindrome (21152644625112).

The spelling of 20121313313010 in words is "twenty trillion, one hundred twenty-one billion, three hundred thirteen million, three hundred thirteen thousand, ten".