20131013013020 has 192 divisors, whose sum is σ = 55597005192960. Its totient is φ = 5941347729408.

The previous prime is 20131013013017. The next prime is 20131013013047. The reversal of 20131013013020 is 2031031013102.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 20131013013020.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 387842 + ... + 6357078.

It is an arithmetic number, because the mean of its divisors is an integer number (289567735380).

Almost surely, 2^{20131013013020} is an apocalyptic number.

20131013013020 is a gapful number since it is divisible by the number (20) 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 20131013013020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27798502596480).

20131013013020 is an abundant number, since it is smaller than the sum of its proper divisors (35465992179940).

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

20131013013020 is a wasteful number, since it uses less digits than its factorization.

20131013013020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5969392 (or 5969390 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 20131013013020 its reverse (2031031013102), we get a palindrome (22162044026122).

The spelling of 20131013013020 in words is "twenty trillion, one hundred thirty-one billion, thirteen million, thirteen thousand, twenty".