101013013200000 has 384 divisors, whose sum is σ = 365861835218880. Its totient is φ = 24488000000000.

The previous prime is 101013013199951. The next prime is 101013013200017. The reversal of 101013013200000 is 2310310101.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9373750 + ... + 17026250.

Almost surely, 2^{101013013200000} is an apocalyptic number.

101013013200000 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 101013013200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182930917609440).

101013013200000 is an abundant number, since it is smaller than the sum of its proper divisors (264848822018880).

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

101013013200000 is an frugal number, since it uses more digits than its factorization.

101013013200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7652554 (or 7652522 counting only the distinct ones).

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

Adding to 101013013200000 its reverse (2310310101), we get a palindrome (101015323510101).

The spelling of 101013013200000 in words is "one hundred one trillion, thirteen billion, thirteen million, two hundred thousand".