2113101030000 has 400 divisors, whose sum is σ = 6901862696960. Its totient is φ = 556886016000.

The previous prime is 2113101029983. The next prime is 2113101030041. The reversal of 2113101030000 is 301013112.

It is a tau number, because it is divible by the number of its divisors (400).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 943768881 + ... + 943771119.

Almost surely, 2^{2113101030000} is an apocalyptic number.

2113101030000 is a gapful number since it is divisible by the number (20) 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 2113101030000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3450931348480).

2113101030000 is an abundant number, since it is smaller than the sum of its proper divisors (4788761666960).

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

2113101030000 is a wasteful number, since it uses less digits than its factorization.

2113101030000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2626 (or 2605 counting only the distinct ones).

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

Adding to 2113101030000 its reverse (301013112), we get a palindrome (2113402043112).

The spelling of 2113101030000 in words is "two trillion, one hundred thirteen billion, one hundred one million, thirty thousand".