11331131133201 has 16 divisors (see below), whose sum is σ = 16485057159168. Its totient is φ = 6865930587600.

The previous prime is 11331131133193. The next prime is 11331131133269. The reversal of 11331131133201 is 10233113113311.

It is not a de Polignac number, because 11331131133201 - 2³ = 11331131133193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11331131133401) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35378521 + ... + 35697366.

It is an arithmetic number, because the mean of its divisors is an integer number (1030316072448).

Almost surely, 2^{11331131133201} is an apocalyptic number.

11331131133201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11331131133201 is a deficient number, since it is larger than the sum of its proper divisors (5153926025967).

11331131133201 is a wasteful number, since it uses less digits than its factorization.

11331131133201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71080732.

The product of its (nonzero) digits is 486, while the sum is 24.

Adding to 11331131133201 its reverse (10233113113311), we get a palindrome (21564244246512).

The spelling of 11331131133201 in words is "eleven trillion, three hundred thirty-one billion, one hundred thirty-one million, one hundred thirty-three thousand, two hundred one".