2101121011313 has 8 divisors (see below), whose sum is σ = 2113428980832. Its totient is φ = 2088848978496.

The previous prime is 2101121011291. The next prime is 2101121011333. The reversal of 2101121011313 is 3131101211012.

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 2101121011313 - 2⁸ = 2101121011057 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2101121011291 and 2101121011300.

It is not an unprimeable number, because it can be changed into a prime (2101121011333) 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, 8866895 + ... + 9100772.

It is an arithmetic number, because the mean of its divisors is an integer number (264178622604).

Almost surely, 2^{2101121011313} is an apocalyptic number.

It is an amenable number.

2101121011313 is a deficient number, since it is larger than the sum of its proper divisors (12307969519).

2101121011313 is a wasteful number, since it uses less digits than its factorization.

2101121011313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17968351.

The product of its (nonzero) digits is 36, while the sum is 17.

Adding to 2101121011313 its reverse (3131101211012), we get a palindrome (5232222222325).

The spelling of 2101121011313 in words is "two trillion, one hundred one billion, one hundred twenty-one million, eleven thousand, three hundred thirteen".