713332268100 has 243 divisors, whose sum is σ = 2288305088797. Its totient is φ = 185863853760.

The previous prime is 713332268083. The next prime is 713332268197. The reversal of 713332268100 is 1862233317.

The square root of 713332268100 is 844590.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 256799616516 + 456532651584 = 506754^2 + 675672^2 .

It is a super-2 number, since 2×713332268100² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1190871601 + ... + 1190872199.

Almost surely, 2^713332268100 is an apocalyptic number.

713332268100 is the 844590-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 713332268100

713332268100 is an abundant number, since it is smaller than the sum of its proper divisors (1574972820697).

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

713332268100 is a wasteful number, since it uses less digits than its factorization.

713332268100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1312 (or 656 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

Multiplying 713332268100 by its sum of digits (36), we get a square (25679961651600 = 5067540²).

713332268100 divided by its sum of digits (36) gives a square (19814785225 = 140765²).

The spelling of 713332268100 in words is "seven hundred thirteen billion, three hundred thirty-two million, two hundred sixty-eight thousand, one hundred".