713813100 has 288 divisors, whose sum is σ = 2774155776. Its totient is φ = 136857600.

The previous prime is 713813081. The next prime is 713813101. The reversal of 713813100 is 1318317.

It is a super-4 number, since 4×713813100⁴ (a number of 37 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (713813101) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 299112 + ... + 301488.

Almost surely, 2^713813100 is an apocalyptic number.

713813100 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 713813100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1387077888).

713813100 is an abundant number, since it is smaller than the sum of its proper divisors (2060342676).

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

713813100 is a wasteful number, since it uses less digits than its factorization.

713813100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2425 (or 2418 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 24.

The square root of 713813100 is about 26717.2809245252. The cubic root of 713813100 is about 893.7063381934.

The spelling of 713813100 in words is "seven hundred thirteen million, eight hundred thirteen thousand, one hundred".