101303112310000 has 100 divisors (see below), whose sum is σ = 245801661127792. Its totient is φ = 40432575168000.

The previous prime is 101303112309859. The next prime is 101303112310031. The reversal of 101303112310000 is 13211303101.

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-2 number, since 2×101303112310000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6513492 + ... + 15653491.

Almost surely, 2^{101303112310000} is an apocalyptic number.

101303112310000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101303112310000 is an abundant number, since it is smaller than the sum of its proper divisors (144498548817792).

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

101303112310000 is an equidigital number, since it uses as much as digits as its factorization.

101303112310000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22167468 (or 22167447 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 101303112310000 its reverse (13211303101), we get a palindrome (101316323613101).

The spelling of 101303112310000 in words is "one hundred one trillion, three hundred three billion, one hundred twelve million, three hundred ten thousand".