1312122022100 has 36 divisors (see below), whose sum is σ = 2862057704604. Its totient is φ = 522129377280.

The previous prime is 1312122022097. The next prime is 1312122022111. The reversal of 1312122022100 is 12202212131.

It can be written as a sum of positive squares in 6 ways, for example, as 298467727684 + 1013654294416 = 546322^2 + 1006804^2 .

It is a super-3 number, since 3×1312122022100³ (a number of 37 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33973499 + ... + 34012098.

Almost surely, 2^{1312122022100} is an apocalyptic number.

1312122022100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1312122022100 is an abundant number, since it is smaller than the sum of its proper divisors (1549935682504).

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

1312122022100 is a wasteful number, since it uses less digits than its factorization.

1312122022100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67985804 (or 67985797 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 1312122022100 its reverse (12202212131), we get a palindrome (1324324234231).

The spelling of 1312122022100 in words is "one trillion, three hundred twelve billion, one hundred twenty-two million, twenty-two thousand, one hundred".