20121313313031 has 64 divisors (see below), whose sum is σ = 31759042215936. Its totient is φ = 11088742406400.

The previous prime is 20121313313027. The next prime is 20121313313033. The reversal of 20121313313031 is 13031331312102.

It is not a de Polignac number, because 20121313313031 - 2² = 20121313313027 is a prime.

It is a super-2 number, since 2×20121313313031² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20121313312992 and 20121313313010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20121313313033) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 342338676 + ... + 342397446.

It is an arithmetic number, because the mean of its divisors is an integer number (496235034624).

Almost surely, 2^{20121313313031} is an apocalyptic number.

20121313313031 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

20121313313031 is a deficient number, since it is larger than the sum of its proper divisors (11637728902905).

20121313313031 is a wasteful number, since it uses less digits than its factorization.

20121313313031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60612.

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 20121313313031 its reverse (13031331312102), we get a palindrome (33152644625133).

The spelling of 20121313313031 in words is "twenty trillion, one hundred twenty-one billion, three hundred thirteen million, three hundred thirteen thousand, thirty-one".