7133125816320 has 416 divisors, whose sum is σ = 26096894005248. Its totient is φ = 1629602709504.

The previous prime is 7133125816319. The next prime is 7133125816321. The reversal of 7133125816320 is 236185213317.

It is an interprime number because it is at equal distance from previous prime (7133125816319) and next prime (7133125816321).

It is a super-2 number, since 2×7133125816320² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (7133125816321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1362060742 + ... + 1362065978.

Almost surely, 2^{7133125816320} is an apocalyptic number.

7133125816320 is a gapful number since it is divisible by the number (70) 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 7133125816320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13048447002624).

7133125816320 is an abundant number, since it is smaller than the sum of its proper divisors (18963768188928).

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

7133125816320 is a wasteful number, since it uses less digits than its factorization.

7133125816320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8443 (or 8421 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The spelling of 7133125816320 in words is "seven trillion, one hundred thirty-three billion, one hundred twenty-five million, eight hundred sixteen thousand, three hundred twenty".