31339059496900 has 27 divisors (see below), whose sum is σ = 68005880587911. Its totient is φ = 12535601406240.

The previous prime is 31339059496729. The next prime is 31339059496907. The reversal of 31339059496900 is 969495093313.

The square root of 31339059496900 is 5598130.

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

It can be written as a sum of positive squares in 4 ways, for example, as 3772863372996 + 27566196123904 = 1942386^2 + 5250352^2 .

It is a super-2 number, since 2×31339059496900² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (31339059496907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 55701394 + ... + 56261206.

Almost surely, 2^{31339059496900} is an apocalyptic number.

31339059496900 is the 5598130-th square number.

It is an amenable number.

31339059496900 is an abundant number, since it is smaller than the sum of its proper divisors (36666821091011).

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

31339059496900 is an frugal number, since it uses more digits than its factorization.

31339059496900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1119640 (or 559820 counting only the distinct ones).

The product of its (nonzero) digits is 21257640, while the sum is 61.

The spelling of 31339059496900 in words is "thirty-one trillion, three hundred thirty-nine billion, fifty-nine million, four hundred ninety-six thousand, nine hundred".