101033131313 has 8 divisors (see below), whose sum is σ = 106795651200. Its totient is φ = 95315110128.

The previous prime is 101033131259. The next prime is 101033131321. The reversal of 101033131313 is 313131330101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101033131313 is a prime.

It is a super-2 number, since 2×101033131313² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (101033131013) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11120006 + ... + 11129087.

It is an arithmetic number, because the mean of its divisors is an integer number (13349456400).

Almost surely, 2^101033131313 is an apocalyptic number.

It is an amenable number.

101033131313 is a deficient number, since it is larger than the sum of its proper divisors (5762519887).

101033131313 is a wasteful number, since it uses less digits than its factorization.

101033131313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22249351.

The product of its (nonzero) digits is 243, while the sum is 20.

Adding to 101033131313 its reverse (313131330101), we get a palindrome (414164461414).

The spelling of 101033131313 in words is "one hundred one billion, thirty-three million, one hundred thirty-one thousand, three hundred thirteen".