101011002313 has 8 divisors (see below), whose sum is σ = 109797726528. Its totient is φ = 92369513424.

The previous prime is 101011002277. The next prime is 101011002341. The reversal of 101011002313 is 313200110101.

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-101011002313 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101011002293 and 101011002302.

It is not an unprimeable number, because it can be changed into a prime (101011002383) 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 7 ways as a sum of consecutive naturals, for example, 36307381 + ... + 36310162.

It is an arithmetic number, because the mean of its divisors is an integer number (13724715816).

Almost surely, 2^101011002313 is an apocalyptic number.

101011002313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

101011002313 is a deficient number, since it is larger than the sum of its proper divisors (8786724215).

101011002313 is a wasteful number, since it uses less digits than its factorization.

101011002313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72617663.

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 101011002313 its reverse (313200110101), we get a palindrome (414211112414).

The spelling of 101011002313 in words is "one hundred one billion, eleven million, two thousand, three hundred thirteen".