313029060100 has 27 divisors (see below), whose sum is σ = 679285201567. Its totient is φ = 125209386080.

The previous prime is 313029060089. The next prime is 313029060103. The reversal of 313029060100 is 1060920313.

The square root of 313029060100 is 559490.

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 47713412356 + 265315647744 = 218434^2 + 515088^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (313029060103) 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, 5566926 + ... + 5622874.

Almost surely, 2^313029060100 is an apocalyptic number.

313029060100 is the 559490-th square number.

It is an amenable number.

313029060100 is an abundant number, since it is smaller than the sum of its proper divisors (366256141467).

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

313029060100 is an frugal number, since it uses more digits than its factorization.

313029060100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111912 (or 55956 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 25.

Multiplying 313029060100 by its sum of digits (25), we get a square (7825726502500 = 2797450²).

313029060100 divided by its sum of digits (25) gives a square (12521162404 = 111898²).

Adding to 313029060100 its reverse (1060920313), we get a palindrome (314089980413).

The spelling of 313029060100 in words is "three hundred thirteen billion, twenty-nine million, sixty thousand, one hundred".