11213013120 has 256 divisors, whose sum is σ = 36433584000. Its totient is φ = 2932899840.

The previous prime is 11213013113. The next prime is 11213013137. The reversal of 11213013120 is 2131031211.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 11213013120.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27415476 + ... + 27415884.

Almost surely, 2^11213013120 is an apocalyptic number.

11213013120 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 11213013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18216792000).

11213013120 is an abundant number, since it is smaller than the sum of its proper divisors (25220570880).

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

11213013120 is a wasteful number, since it uses less digits than its factorization.

11213013120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 671 (or 659 counting only the distinct ones).

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

Adding to 11213013120 its reverse (2131031211), we get a palindrome (13344044331).

It can be divided in two parts, 112130 and 13120, that added together give a triangular number (125250 = T₅₀₀).

The spelling of 11213013120 in words is "eleven billion, two hundred thirteen million, thirteen thousand, one hundred twenty".