13013414213129 has 16 divisors (see below), whose sum is σ = 14247544204800. Its totient is φ = 11787802992000.

The previous prime is 13013414213117. The next prime is 13013414213131. The reversal of 13013414213129 is 92131241431031.

It is a cyclic number.

It is not a de Polignac number, because 13013414213129 - 2³² = 13009119245833 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13013414213329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93993047 + ... + 94131395.

It is an arithmetic number, because the mean of its divisors is an integer number (890471512800).

Almost surely, 2^{13013414213129} is an apocalyptic number.

It is an amenable number.

13013414213129 is a deficient number, since it is larger than the sum of its proper divisors (1234129991671).

13013414213129 is a wasteful number, since it uses less digits than its factorization.

13013414213129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169072.

The product of its (nonzero) digits is 15552, while the sum is 35.

The spelling of 13013414213129 in words is "thirteen trillion, thirteen billion, four hundred fourteen million, two hundred thirteen thousand, one hundred twenty-nine".