13121968 has 40 divisors (see below), whose sum is σ = 26467056. Its totient is φ = 6297600.

The previous prime is 13121921. The next prime is 13121971. The reversal of 13121968 is 86912131.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

13121968 is a modest number, since divided by 1968 gives 1312 as remainder.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54328 + ... + 54568.

Almost surely, 2^13121968 is an apocalyptic number.

It is an amenable number.

13121968 is an abundant number, since it is smaller than the sum of its proper divisors (13345088).

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

13121968 is a wasteful number, since it uses less digits than its factorization.

13121968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373 (or 367 counting only the distinct ones).

The product of its digits is 2592, while the sum is 31.

The square root of 13121968 is about 3622.4257066226. The cubic root of 13121968 is about 235.8665337463.

The spelling of 13121968 in words is "thirteen million, one hundred twenty-one thousand, nine hundred sixty-eight".