1012113313121 has 8 divisors (see below), whose sum is σ = 1013520619488. Its totient is φ = 1010706984000.

The previous prime is 1012113313103. The next prime is 1012113313213. The reversal of 1012113313121 is 1213133112101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1012113313121 - 2³⁴ = 994933443937 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1012113313093 and 1012113313102.

It is not an unprimeable number, because it can be changed into a prime (1012113315121) 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, 1840826 + ... + 2326556.

It is an arithmetic number, because the mean of its divisors is an integer number (126690077436).

Almost surely, 2^{1012113313121} is an apocalyptic number.

It is an amenable number.

1012113313121 is a deficient number, since it is larger than the sum of its proper divisors (1407306367).

1012113313121 is a wasteful number, since it uses less digits than its factorization.

1012113313121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488623.

The product of its (nonzero) digits is 108, while the sum is 20.

Adding to 1012113313121 its reverse (1213133112101), we get a palindrome (2225246425222).

The spelling of 1012113313121 in words is "one trillion, twelve billion, one hundred thirteen million, three hundred thirteen thousand, one hundred twenty-one".