13301220003948 has 24 divisors (see below), whose sum is σ = 34484644454960. Its totient is φ = 4433740001280.

The previous prime is 13301220003947. The next prime is 13301220004021. The reversal of 13301220003948 is 84930002210331.

13301220003948 is a `hidden beast` number, since 13 + 30 + 1 + 220 + 0 + 0 + 394 + 8 = 666.

13301220003948 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×13301220003948³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (13301220003941) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 61579722133 + ... + 61579722348.

Almost surely, 2^{13301220003948} is an apocalyptic number.

13301220003948 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13301220003948 is an abundant number, since it is smaller than the sum of its proper divisors (21183424451012).

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

13301220003948 is a wasteful number, since it uses less digits than its factorization.

13301220003948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123159444494 (or 123159444486 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 13301220003948 in words is "thirteen trillion, three hundred one billion, two hundred twenty million, three thousand, nine hundred forty-eight".