13121400032301 has 48 divisors (see below), whose sum is σ = 19312049433600. Its totient is φ = 7918607669280.

The previous prime is 13121400032177. The next prime is 13121400032327. The reversal of 13121400032301 is 10323000412131.

13121400032301 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13121400032301 - 2¹⁰ = 13121400031277 is a prime.

It is a super-2 number, since 2×13121400032301² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13121400032381) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 87717910 + ... + 87867368.

It is an arithmetic number, because the mean of its divisors is an integer number (402334363200).

Almost surely, 2^{13121400032301} is an apocalyptic number.

13121400032301 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13121400032301 is a deficient number, since it is larger than the sum of its proper divisors (6190649401299).

13121400032301 is a wasteful number, since it uses less digits than its factorization.

13121400032301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150510 (or 150499 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 13121400032301 its reverse (10323000412131), we get a palindrome (23444400444432).

The spelling of 13121400032301 in words is "thirteen trillion, one hundred twenty-one billion, four hundred million, thirty-two thousand, three hundred one".