101288993013 has 96 divisors (see below), whose sum is σ = 164670105600. Its totient is φ = 59567380992.

The previous prime is 101288992999. The next prime is 101288993059. The reversal of 101288993013 is 310399882101.

It is not a de Polignac number, because 101288993013 - 2¹⁴ = 101288976629 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 101288993013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101288993083) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 198995803 + ... + 198996311.

It is an arithmetic number, because the mean of its divisors is an integer number (1715313600).

Almost surely, 2^101288993013 is an apocalyptic number.

101288993013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

101288993013 is a deficient number, since it is larger than the sum of its proper divisors (63381112587).

101288993013 is a wasteful number, since it uses less digits than its factorization.

101288993013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1043 (or 1040 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The spelling of 101288993013 in words is "one hundred one billion, two hundred eighty-eight million, nine hundred ninety-three thousand, thirteen".