2121310133013 has 16 divisors (see below), whose sum is σ = 2924027602496. Its totient is φ = 1367077824000.

The previous prime is 2121310132979. The next prime is 2121310133029. The reversal of 2121310133013 is 3103310131212.

It is a happy number.

It is not a de Polignac number, because 2121310133013 - 2²⁵ = 2121276578581 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2121310133053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84751738 + ... + 84776763.

It is an arithmetic number, because the mean of its divisors is an integer number (182751725156).

Almost surely, 2^{2121310133013} is an apocalyptic number.

It is an amenable number.

2121310133013 is a deficient number, since it is larger than the sum of its proper divisors (802717469483).

2121310133013 is a wasteful number, since it uses less digits than its factorization.

2121310133013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169528644.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 2121310133013 its reverse (3103310131212), we get a palindrome (5224620264225).

The spelling of 2121310133013 in words is "two trillion, one hundred twenty-one billion, three hundred ten million, one hundred thirty-three thousand, thirteen".