13130865990 has 384 divisors, whose sum is σ = 41529853440. Its totient is φ = 2925331200.

The previous prime is 13130865967. The next prime is 13130866019. The reversal of 13130865990 is 9956803131.

13130865990 = 408² + 409² + ... + 3404².

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 39670125 + ... + 39670455.

It is an arithmetic number, because the mean of its divisors is an integer number (108150660).

Almost surely, 2^13130865990 is an apocalyptic number.

13130865990 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13130865990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20764926720).

13130865990 is an abundant number, since it is smaller than the sum of its proper divisors (28398987450).

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

13130865990 is a wasteful number, since it uses less digits than its factorization.

13130865990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The spelling of 13130865990 in words is "thirteen billion, one hundred thirty million, eight hundred sixty-five thousand, nine hundred ninety".