321313532008100 has 18 divisors (see below), whose sum is σ = 697250364457794. Its totient is φ = 128525412803200.

The previous prime is 321313532008037. The next prime is 321313532008277. The reversal of 321313532008100 is 1800235313123.

It can be written as a sum of positive squares in 3 ways, for example, as 10201404004 + 321303330604096 = 101002^2 + 17924936^2 .

It is a super-2 number, since 2×321313532008100² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1606567659941 + ... + 1606567660140.

Almost surely, 2^{321313532008100} is an apocalyptic number.

It is an amenable number.

321313532008100 is an abundant number, since it is smaller than the sum of its proper divisors (375936832449694).

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

321313532008100 is a wasteful number, since it uses less digits than its factorization.

321313532008100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3213135320095 (or 3213135320088 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 32.

The spelling of 321313532008100 in words is "three hundred twenty-one trillion, three hundred thirteen billion, five hundred thirty-two million, eight thousand, one hundred".