101302203101031 has 6 divisors (see below), whose sum is σ = 146325404479280. Its totient is φ = 67534802067348.

The previous prime is 101302203101017. The next prime is 101302203101089. The reversal of 101302203101031 is 130101302203101.

101302203101031 is a `hidden beast` number, since 1 + 0 + 1 + 30 + 220 + 310 + 103 + 1 = 666.

It is not a de Polignac number, because 101302203101031 - 2¹⁸ = 101302202838887 is a prime.

It is a super-2 number, since 2×101302203101031² (a number of 29 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 = 101302203100995 and 101302203101013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101302203101831) 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 5 ways as a sum of consecutive naturals, for example, 5627900172271 + ... + 5627900172288.

Almost surely, 2^{101302203101031} is an apocalyptic number.

101302203101031 is a deficient number, since it is larger than the sum of its proper divisors (45023201378249).

101302203101031 is a wasteful number, since it uses less digits than its factorization.

101302203101031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11255800344565 (or 11255800344562 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 101302203101031 its reverse (130101302203101), we get a palindrome (231403505304132).

The spelling of 101302203101031 in words is "one hundred one trillion, three hundred two billion, two hundred three million, one hundred one thousand, thirty-one".