10113433312311 has 24 divisors (see below), whose sum is σ = 16719852118944. Its totient is φ = 5770568381760.

The previous prime is 10113433312303. The next prime is 10113433312331. The reversal of 10113433312311 is 11321333431101.

10113433312311 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 3 + 4 + 33 + 312 + 311 = 666.

It is not a de Polignac number, because 10113433312311 - 2³ = 10113433312303 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10113433312331) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 118517680 + ... + 118602981.

It is an arithmetic number, because the mean of its divisors is an integer number (696660504956).

Almost surely, 2^{10113433312311} is an apocalyptic number.

10113433312311 is a deficient number, since it is larger than the sum of its proper divisors (6606418806633).

10113433312311 is a wasteful number, since it uses less digits than its factorization.

10113433312311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237121351 (or 237121348 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

Adding to 10113433312311 its reverse (11321333431101), we get a palindrome (21434766743412).

The spelling of 10113433312311 in words is "ten trillion, one hundred thirteen billion, four hundred thirty-three million, three hundred twelve thousand, three hundred eleven".