11460513133 has 2 divisors, whose sum is σ = 11460513134. Its totient is φ = 11460513132.

The previous prime is 11460513131. The next prime is 11460513137. The reversal of 11460513133 is 33131506411.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10783368649 + 677144484 = 103843^2 + 26022^2 .

It is a cyclic number.

It is not a de Polignac number, because 11460513133 - 2¹ = 11460513131 is a prime.

It is a super-2 number, since 2×11460513133² (a number of 21 digits) contains 22 as substring.

Together with 11460513131, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11460513131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5730256566 + 5730256567.

It is an arithmetic number, because the mean of its divisors is an integer number (5730256567).

Almost surely, 2^11460513133 is an apocalyptic number.

It is an amenable number.

11460513133 is a deficient number, since it is larger than the sum of its proper divisors (1).

11460513133 is an equidigital number, since it uses as much as digits as its factorization.

11460513133 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3240, while the sum is 28.

It can be divided in two parts, 1146051 and 3133, that added together give a square (1149184 = 1072²).

The spelling of 11460513133 in words is "eleven billion, four hundred sixty million, five hundred thirteen thousand, one hundred thirty-three".