314233020100 has 36 divisors (see below), whose sum is σ = 721996578324. Its totient is φ = 118299489280.

The previous prime is 314233020091. The next prime is 314233020103. The reversal of 314233020100 is 1020332413.

It can be written as a sum of positive squares in 6 ways, for example, as 42199841476 + 272033178624 = 205426^2 + 521568^2 .

It is a super-3 number, since 3×314233020100³ (a number of 35 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (314233020103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 92419777 + ... + 92423176.

It is an arithmetic number, because the mean of its divisors is an integer number (20055460509).

Almost surely, 2^314233020100 is an apocalyptic number.

It is an amenable number.

314233020100 is an abundant number, since it is smaller than the sum of its proper divisors (407763558224).

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

314233020100 is a wasteful number, since it uses less digits than its factorization.

314233020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184842984 (or 184842977 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 314233020100 its reverse (1020332413), we get a palindrome (315253352513).

The spelling of 314233020100 in words is "three hundred fourteen billion, two hundred thirty-three million, twenty thousand, one hundred".