13402010011020 has 192 divisors, whose sum is σ = 40153485214080. Its totient is φ = 3328065404928.

The previous prime is 13402010010941. The next prime is 13402010011057. The reversal of 13402010011020 is 2011001020431.

It is a super-2 number, since 2×13402010011020² (a number of 27 digits) contains 22 as substring.

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

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, 413256166 + ... + 413288594.

It is an arithmetic number, because the mean of its divisors is an integer number (209132735490).

Almost surely, 2^{13402010011020} is an apocalyptic number.

13402010011020 is a gapful number since it is divisible by the number (10) 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 13402010011020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20076742607040).

13402010011020 is an abundant number, since it is smaller than the sum of its proper divisors (26751475203060).

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

13402010011020 is a wasteful number, since it uses less digits than its factorization.

13402010011020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36732 (or 36730 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 13402010011020 its reverse (2011001020431), we get a palindrome (15413011031451).

The spelling of 13402010011020 in words is "thirteen trillion, four hundred two billion, ten million, eleven thousand, twenty".