101013023133 has 96 divisors (see below), whose sum is σ = 172143283200. Its totient is φ = 58387301280.

The previous prime is 101013023107. The next prime is 101013023161. The reversal of 101013023133 is 331320310101.

It is a happy number.

It is not a de Polignac number, because 101013023133 - 2⁵ = 101013023101 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101013023533) 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 95 ways as a sum of consecutive naturals, for example, 28476666 + ... + 28480212.

It is an arithmetic number, because the mean of its divisors is an integer number (1793159200).

Almost surely, 2^101013023133 is an apocalyptic number.

It is an amenable number.

101013023133 is a deficient number, since it is larger than the sum of its proper divisors (71130260067).

101013023133 is a wasteful number, since it uses less digits than its factorization.

101013023133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3980 (or 3963 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 101013023133 its reverse (331320310101), we get a palindrome (432333333234).

The spelling of 101013023133 in words is "one hundred one billion, thirteen million, twenty-three thousand, one hundred thirty-three".