11131501500 has 432 divisors, whose sum is σ = 43015583520. Its totient is φ = 2409523200.

The previous prime is 11131501499. The next prime is 11131501501. The reversal of 11131501500 is 510513111.

11131501500 is a `hidden beast` number, since 1 + 1 + 13 + 150 + 1 + 500 = 666.

It is an interprime number because it is at equal distance from previous prime (11131501499) and next prime (11131501501).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11131501501) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4188172 + ... + 4190828.

It is an arithmetic number, because the mean of its divisors is an integer number (99573110).

Almost surely, 2^11131501500 is an apocalyptic number.

11131501500 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 11131501500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21507791760).

11131501500 is an abundant number, since it is smaller than the sum of its proper divisors (31884082020).

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

11131501500 is a wasteful number, since it uses less digits than its factorization.

11131501500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2715 (or 2693 counting only the distinct ones).

The product of its (nonzero) digits is 75, while the sum is 18.

The spelling of 11131501500 in words is "eleven billion, one hundred thirty-one million, five hundred one thousand, five hundred".