13102602240 has 768 divisors, whose sum is σ = 53275622400. Its totient is φ = 2675441664.

The previous prime is 13102602239. The next prime is 13102602241. The reversal of 13102602240 is 4220620131.

It is an interprime number because it is at equal distance from previous prime (13102602239) and next prime (13102602241).

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13102602241) 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, 120207306 + ... + 120207414.

It is an arithmetic number, because the mean of its divisors is an integer number (69369300).

Almost surely, 2^13102602240 is an apocalyptic number.

13102602240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13102602240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26637811200).

13102602240 is an abundant number, since it is smaller than the sum of its proper divisors (40173020160).

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

13102602240 is a wasteful number, since it uses less digits than its factorization.

13102602240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The spelling of 13102602240 in words is "thirteen billion, one hundred two million, six hundred two thousand, two hundred forty".