11012133132013 has 24 divisors (see below), whose sum is σ = 12012301008960. Its totient is φ = 10090123655040.

The previous prime is 11012133132001. The next prime is 11012133132019. The reversal of 11012133132013 is 31023133121011.

11012133132013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11012133132013 - 2¹³ = 11012133123821 is a prime.

It is a super-2 number, since 2×11012133132013² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11012133132019) 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, 142622248 + ... + 142699438.

It is an arithmetic number, because the mean of its divisors is an integer number (500512542040).

Almost surely, 2^{11012133132013} is an apocalyptic number.

11012133132013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

11012133132013 is a deficient number, since it is larger than the sum of its proper divisors (1000167876947).

11012133132013 is a wasteful number, since it uses less digits than its factorization.

11012133132013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83429 (or 83416 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 22.

Adding to 11012133132013 its reverse (31023133121011), we get a palindrome (42035266253024).

The spelling of 11012133132013 in words is "eleven trillion, twelve billion, one hundred thirty-three million, one hundred thirty-two thousand, thirteen".