101310103120 has 20 divisors (see below), whose sum is σ = 235545989940. Its totient is φ = 40524041216.

The previous prime is 101310103073. The next prime is 101310103201. The reversal of 101310103120 is 21301013101.

It can be written as a sum of positive squares in 2 ways, for example, as 78978985024 + 22331118096 = 281032^2 + 149436^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-3 number, since 3×101310103120³ (a number of 34 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 101310103120.

It is a congruent number.

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, 633188065 + ... + 633188224.

It is an arithmetic number, because the mean of its divisors is an integer number (11777299497).

Almost surely, 2^101310103120 is an apocalyptic number.

101310103120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101310103120 is an abundant number, since it is smaller than the sum of its proper divisors (134235886820).

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

101310103120 is a wasteful number, since it uses less digits than its factorization.

101310103120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1266376302 (or 1266376296 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 101310103120 its reverse (21301013101), we get a palindrome (122611116221).

The spelling of 101310103120 in words is "one hundred one billion, three hundred ten million, one hundred three thousand, one hundred twenty".