132101011013 has 4 divisors (see below), whose sum is σ = 132423996780. Its totient is φ = 131778025248.

The previous prime is 132101011001. The next prime is 132101011061. The reversal of 132101011013 is 310110101231.

It is a happy number.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 310110101231 = 7 ⋅44301443033.

It can be written as a sum of positive squares in 2 ways, for example, as 120758335009 + 11342676004 = 347503^2 + 106502^2 .

It is a cyclic number.

It is not a de Polignac number, because 132101011013 - 2⁴ = 132101010997 is a prime.

It is a super-2 number, since 2×132101011013² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132101011073) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 161492270 + ... + 161493087.

It is an arithmetic number, because the mean of its divisors is an integer number (33105999195).

Almost surely, 2^132101011013 is an apocalyptic number.

It is an amenable number.

132101011013 is a deficient number, since it is larger than the sum of its proper divisors (322985767).

132101011013 is an equidigital number, since it uses as much as digits as its factorization.

132101011013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322985766.

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 132101011013 its reverse (310110101231), we get a palindrome (442211112244).

The spelling of 132101011013 in words is "one hundred thirty-two billion, one hundred one million, eleven thousand, thirteen".