21513120122034 has 64 divisors (see below), whose sum is σ = 49490553312000. Its totient is φ = 6918848133120.

The previous prime is 21513120121981. The next prime is 21513120122041. The reversal of 21513120122034 is 43022102131512.

It is a happy number.

21513120122034 is a `hidden beast` number, since 2 + 1 + 513 + 1 + 20 + 122 + 0 + 3 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 21513120121989 and 21513120122007.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 2668462 + ... + 7081449.

It is an arithmetic number, because the mean of its divisors is an integer number (773289895500).

Almost surely, 2^{21513120122034} is an apocalyptic number.

21513120122034 is an abundant number, since it is smaller than the sum of its proper divisors (27977433189966).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21513120122034 is a wasteful number, since it uses less digits than its factorization.

21513120122034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9751360 (or 9751354 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 21513120122034 its reverse (43022102131512), we get a palindrome (64535222253546).

The spelling of 21513120122034 in words is "twenty-one trillion, five hundred thirteen billion, one hundred twenty million, one hundred twenty-two thousand, thirty-four".