13402121024 has 84 divisors (see below), whose sum is σ = 27366065664. Its totient is φ = 6511744512.

The previous prime is 13402121023. The next prime is 13402121039. The reversal of 13402121024 is 42012120431.

It is a junction number, because it is equal to n+sod(n) for n = 13402120987 and 13402121005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13402121023) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22831259 + ... + 22831845.

It is an arithmetic number, because the mean of its divisors is an integer number (325786496).

Almost surely, 2^13402121024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13402121024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13683032832).

13402121024 is an abundant number, since it is smaller than the sum of its proper divisors (13963944640).

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

13402121024 is an equidigital number, since it uses as much as digits as its factorization.

13402121024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 832 (or 769 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 13402121024 its reverse (42012120431), we get a palindrome (55414241455).

The spelling of 13402121024 in words is "thirteen billion, four hundred two million, one hundred twenty-one thousand, twenty-four".