11013020113032 has 768 divisors, whose sum is σ = 37965957120000. Its totient is φ = 2920827029760.

The previous prime is 11013020113003. The next prime is 11013020113033. The reversal of 11013020113032 is 23031102031011.

It is a super-2 number, since 2×11013020113032² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11013020112996 and 11013020113014.

It is not an unprimeable number, because it can be changed into a prime (11013020113033) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5476388907 + ... + 5476390917.

It is an arithmetic number, because the mean of its divisors is an integer number (49434840000).

Almost surely, 2^{11013020113032} is an apocalyptic number.

11013020113032 is a gapful number since it is divisible by the number (12) 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 11013020113032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18982978560000).

11013020113032 is an abundant number, since it is smaller than the sum of its proper divisors (26952937006968).

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

11013020113032 is a wasteful number, since it uses less digits than its factorization.

11013020113032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2476 (or 2460 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 11013020113032 its reverse (23031102031011), we get a palindrome (34044122144043).

The spelling of 11013020113032 in words is "eleven trillion, thirteen billion, twenty million, one hundred thirteen thousand, thirty-two".