1213104013121 has 24 divisors (see below), whose sum is σ = 1641122290752. Its totient is φ = 872562319200.

The previous prime is 1213104013091. The next prime is 1213104013133.

1213104013121 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1213104013121 - 2²² = 1213099818817 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1213104013093 and 1213104013102.

It is not an unprimeable number, because it can be changed into a prime (1213104013921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55074995 + ... + 55097016.

It is an arithmetic number, because the mean of its divisors is an integer number (68380095448).

Almost surely, 2^{1213104013121} is an apocalyptic number.

1213104013121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1213104013121 is a deficient number, since it is larger than the sum of its proper divisors (428018277631).

1213104013121 is a wasteful number, since it uses less digits than its factorization.

1213104013121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110172053 (or 110172042 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

The spelling of 1213104013121 in words is "one trillion, two hundred thirteen billion, one hundred four million, thirteen thousand, one hundred twenty-one".