11513020031140 has 192 divisors, whose sum is σ = 26668091842560. Its totient is φ = 4156132423680.

The previous prime is 11513020031087. The next prime is 11513020031143. The reversal of 11513020031140 is 4113002031511.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (11513020031143) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 533913999 + ... + 533935561.

It is an arithmetic number, because the mean of its divisors is an integer number (138896311680).

Almost surely, 2^{11513020031140} is an apocalyptic number.

11513020031140 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 11513020031140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13334045921280).

11513020031140 is an abundant number, since it is smaller than the sum of its proper divisors (15155071811420).

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

11513020031140 is a wasteful number, since it uses less digits than its factorization.

11513020031140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22082 (or 22080 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 22.

Adding to 11513020031140 its reverse (4113002031511), we get a palindrome (15626022062651).

The spelling of 11513020031140 in words is "eleven trillion, five hundred thirteen billion, twenty million, thirty-one thousand, one hundred forty".