11331130233120 has 48 divisors (see below), whose sum is σ = 35693060235840. Its totient is φ = 3021634728704.

The previous prime is 11331130233107. The next prime is 11331130233133. The reversal of 11331130233120 is 2133203113311.

It is an interprime number because it is at equal distance from previous prime (11331130233107) and next prime (11331130233133).

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×11331130233120² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11803260180 + ... + 11803261139.

It is an arithmetic number, because the mean of its divisors is an integer number (743605421580).

Almost surely, 2^{11331130233120} is an apocalyptic number.

11331130233120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11331130233120 is an abundant number, since it is smaller than the sum of its proper divisors (24361930002720).

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

11331130233120 is a wasteful number, since it uses less digits than its factorization.

11331130233120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23606521337 (or 23606521329 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 11331130233120 its reverse (2133203113311), we get a palindrome (13464333346431).

The spelling of 11331130233120 in words is "eleven trillion, three hundred thirty-one billion, one hundred thirty million, two hundred thirty-three thousand, one hundred twenty".