1010135110023 has 24 divisors (see below), whose sum is σ = 1586878937280. Its totient is φ = 615466929600.

The previous prime is 1010135110009. The next prime is 1010135110031. The reversal of 1010135110023 is 3200115310101.

It is not a de Polignac number, because 1010135110023 - 2²¹ = 1010133012871 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1010135109978 and 1010135110005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010135110063) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42728943 + ... + 42752576.

It is an arithmetic number, because the mean of its divisors is an integer number (66119955720).

Almost surely, 2^{1010135110023} is an apocalyptic number.

1010135110023 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

1010135110023 is a deficient number, since it is larger than the sum of its proper divisors (576743827257).

1010135110023 is a wasteful number, since it uses less digits than its factorization.

1010135110023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85481639 (or 85481636 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

The spelling of 1010135110023 in words is "one trillion, ten billion, one hundred thirty-five million, one hundred ten thousand, twenty-three".