101310003120 has 160 divisors (see below), whose sum is σ = 316907716608. Its totient is φ = 26771641344.

The previous prime is 101310003097. The next prime is 101310003121. The reversal of 101310003120 is 21300013101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 101310003096 and 101310003105.

It is not an unprimeable number, because it can be changed into a prime (101310003121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37702417 + ... + 37705103.

Almost surely, 2^101310003120 is an apocalyptic number.

101310003120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101310003120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158453858304).

101310003120 is an abundant number, since it is smaller than the sum of its proper divisors (215597713488).

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

101310003120 is a wasteful number, since it uses less digits than its factorization.

101310003120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4067 (or 4061 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 101310003120 its reverse (21300013101), we get a palindrome (122610016221).

The spelling of 101310003120 in words is "one hundred one billion, three hundred ten million, three thousand, one hundred twenty".