313917426900 has 972 divisors, whose sum is σ = 1274177939580. Its totient is φ = 64399104000.

The previous prime is 313917426899. The next prime is 313917426923. The reversal of 313917426900 is 9624719313.

313917426900 is a `hidden beast` number, since 3 + 139 + 1 + 7 + 426 + 90 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 7070119056 + 306847307844 = 84084^2 + 553938^2 .

It is a super-2 number, since 2×313917426900² (a number of 24 digits) contains 22 as substring.

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 323 ways as a sum of consecutive naturals, for example, 474912570 + ... + 474913230.

Almost surely, 2^313917426900 is an apocalyptic number.

313917426900 is a gapful number since it is divisible by the number (30) 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 313917426900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (637088969790).

313917426900 is an abundant number, since it is smaller than the sum of its proper divisors (960260512680).

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

313917426900 is a wasteful number, since it uses less digits than its factorization.

313917426900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 806 (or 778 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The spelling of 313917426900 in words is "three hundred thirteen billion, nine hundred seventeen million, four hundred twenty-six thousand, nine hundred".