101203312313120 has 24 divisors (see below), whose sum is σ = 239092825340124. Its totient is φ = 40481324925184.

The previous prime is 101203312313111. The next prime is 101203312313141. The reversal of 101203312313120 is 21313213302101.

It can be written as a sum of positive squares in 2 ways, for example, as 92087284748944 + 9116027564176 = 9596212^2 + 3019276^2 .

It is a super-2 number, since 2×101203312313120² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 316260350819 + ... + 316260351138.

Almost surely, 2^{101203312313120} is an apocalyptic number.

101203312313120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101203312313120 is an abundant number, since it is smaller than the sum of its proper divisors (137889513027004).

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

101203312313120 is an equidigital number, since it uses as much as digits as its factorization.

101203312313120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 632520701972 (or 632520701964 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 101203312313120 its reverse (21313213302101), we get a palindrome (122516525615221).

The spelling of 101203312313120 in words is "one hundred one trillion, two hundred three billion, three hundred twelve million, three hundred thirteen thousand, one hundred twenty".