11153150212113 has 48 divisors (see below), whose sum is σ = 20123760349056. Its totient is φ = 5795174626560.

The previous prime is 11153150212109. The next prime is 11153150212117. The reversal of 11153150212113 is 31121205135111.

11153150212113 is a `hidden beast` number, since 1 + 1 + 1 + 5 + 31 + 502 + 12 + 113 = 666.

It is an interprime number because it is at equal distance from previous prime (11153150212109) and next prime (11153150212117).

It is not a de Polignac number, because 11153150212113 - 2² = 11153150212109 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11153150212117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 101572068 + ... + 101681813.

It is an arithmetic number, because the mean of its divisors is an integer number (419245007272).

Almost surely, 2^{11153150212113} is an apocalyptic number.

11153150212113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

11153150212113 is a deficient number, since it is larger than the sum of its proper divisors (8970610136943).

11153150212113 is a wasteful number, since it uses less digits than its factorization.

11153150212113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203253974 (or 203253971 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 27.

Adding to 11153150212113 its reverse (31121205135111), we get a palindrome (42274355347224).

The spelling of 11153150212113 in words is "eleven trillion, one hundred fifty-three billion, one hundred fifty million, two hundred twelve thousand, one hundred thirteen".