101133050013 has 48 divisors (see below), whose sum is σ = 158248411776. Its totient is φ = 64421153280.

The previous prime is 101133050009. The next prime is 101133050107. The reversal of 101133050013 is 310050331101.

101133050013 is a `hidden beast` number, since 10 + 113 + 30 + 500 + 13 = 666.

It is not a de Polignac number, because 101133050013 - 2² = 101133050009 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101133050713) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5451193 + ... + 5469713.

It is an arithmetic number, because the mean of its divisors is an integer number (3296841912).

Almost surely, 2^101133050013 is an apocalyptic number.

It is an amenable number.

101133050013 is a deficient number, since it is larger than the sum of its proper divisors (57115361763).

101133050013 is an equidigital number, since it uses as much as digits as its factorization.

101133050013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19536 (or 19524 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 18.

Adding to 101133050013 its reverse (310050331101), we get a palindrome (411183381114).

The spelling of 101133050013 in words is "one hundred one billion, one hundred thirty-three million, fifty thousand, thirteen".