13121020413 has 64 divisors (see below), whose sum is σ = 20371046400. Its totient is φ = 8337349440.

The previous prime is 13121020411. The next prime is 13121020421. The reversal of 13121020413 is 31402012131.

It is not a de Polignac number, because 13121020413 - 2¹ = 13121020411 is a prime.

It is a super-2 number, since 2×13121020413² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13121020411) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21404295 + ... + 21404907.

It is an arithmetic number, because the mean of its divisors is an integer number (318297600).

Almost surely, 2^13121020413 is an apocalyptic number.

It is an amenable number.

13121020413 is a deficient number, since it is larger than the sum of its proper divisors (7250025987).

13121020413 is a wasteful number, since it uses less digits than its factorization.

13121020413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 999 (or 993 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 13121020413 its reverse (31402012131), we get a palindrome (44523032544).

The spelling of 13121020413 in words is "thirteen billion, one hundred twenty-one million, twenty thousand, four hundred thirteen".