101013103140000 has 120 divisors (see below), whose sum is σ = 331343181116640. Its totient is φ = 26936827488000.

The previous prime is 101013103139807. The next prime is 101013103140011. The reversal of 101013103140000 is 41301310101.

101013103140000 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 841715860 + ... + 841835859.

It is an arithmetic number, because the mean of its divisors is an integer number (2761193175972).

Almost surely, 2^{101013103140000} is an apocalyptic number.

101013103140000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101013103140000 is an abundant number, since it is smaller than the sum of its proper divisors (230330077976640).

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

101013103140000 is an equidigital number, since it uses as much as digits as its factorization.

101013103140000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1683551752 (or 1683551729 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 101013103140000 its reverse (41301310101), we get a palindrome (101054404450101).

The spelling of 101013103140000 in words is "one hundred one trillion, thirteen billion, one hundred three million, one hundred forty thousand".