102401013331 has 16 divisors (see below), whose sum is σ = 105311138688. Its totient is φ = 99511027200.

The previous prime is 102401013307. The next prime is 102401013343. The reversal of 102401013331 is 133310104201.

It is a cyclic number.

It is not a de Polignac number, because 102401013331 - 2¹³ = 102401005139 is a prime.

It is a super-2 number, since 2×102401013331² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102401013299 and 102401013308.

It is not an unprimeable number, because it can be changed into a prime (102401013301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27473590 + ... + 27477316.

It is an arithmetic number, because the mean of its divisors is an integer number (6581946168).

Almost surely, 2^102401013331 is an apocalyptic number.

102401013331 is a deficient number, since it is larger than the sum of its proper divisors (2910125357).

102401013331 is a wasteful number, since it uses less digits than its factorization.

102401013331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6222.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 102401013331 its reverse (133310104201), we get a palindrome (235711117532).

The spelling of 102401013331 in words is "one hundred two billion, four hundred one million, thirteen thousand, three hundred thirty-one".