2123121462013 has 16 divisors (see below), whose sum is σ = 2266324446960. Its totient is φ = 1985314508800.

The previous prime is 2123121462001. The next prime is 2123121462019. The reversal of 2123121462013 is 3102641213212.

It can be written as a sum of positive squares in 8 ways, for example, as 517596791364 + 1605524670649 = 719442^2 + 1267093^2 .

It is a cyclic number.

It is not a de Polignac number, because 2123121462013 - 2³⁷ = 1985682508541 is a prime.

It is a super-4 number, since 4×2123121462013⁴ (a number of 50 digits) contains 4444 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2123121462019) 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, 6354028 + ... + 6679813.

It is an arithmetic number, because the mean of its divisors is an integer number (141645277935).

Almost surely, 2^{2123121462013} is an apocalyptic number.

It is an amenable number.

2123121462013 is a deficient number, since it is larger than the sum of its proper divisors (143202984947).

2123121462013 is a wasteful number, since it uses less digits than its factorization.

2123121462013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13034048.

The product of its (nonzero) digits is 3456, while the sum is 28.

Adding to 2123121462013 its reverse (3102641213212), we get a palindrome (5225762675225).

The spelling of 2123121462013 in words is "two trillion, one hundred twenty-three billion, one hundred twenty-one million, four hundred sixty-two thousand, thirteen".