11331131313130 has 128 divisors (see below), whose sum is σ = 22531908672000. Its totient is φ = 4086018478080.

The previous prime is 11331131313083. The next prime is 11331131313191. The reversal of 11331131313130 is 3131313113311.

11331131313130 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×11331131313130² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11331131313095 and 11331131313104.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 152474142 + ... + 152548438.

It is an arithmetic number, because the mean of its divisors is an integer number (176030536500).

Almost surely, 2^{11331131313130} is an apocalyptic number.

11331131313130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11331131313130 is a deficient number, since it is larger than the sum of its proper divisors (11200777358870).

11331131313130 is a wasteful number, since it uses less digits than its factorization.

11331131313130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74752.

The product of its (nonzero) digits is 729, while the sum is 25.

Adding to 11331131313130 its reverse (3131313113311), we get a palindrome (14462444426441).

The spelling of 11331131313130 in words is "eleven trillion, three hundred thirty-one billion, one hundred thirty-one million, three hundred thirteen thousand, one hundred thirty".