10101300011023 has 24 divisors (see below), whose sum is σ = 11435388919920. Its totient is φ = 8869046398080.

The previous prime is 10101300011009. The next prime is 10101300011027. The reversal of 10101300011023 is 32011000310101.

It is not a de Polignac number, because 10101300011023 - 2¹³ = 10101300002831 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 = 10101300010994 and 10101300011012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10101300011027) 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, 2871958 + ... + 5333923.

It is an arithmetic number, because the mean of its divisors is an integer number (476474538330).

Almost surely, 2^{10101300011023} is an apocalyptic number.

10101300011023 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

10101300011023 is a deficient number, since it is larger than the sum of its proper divisors (1334088908897).

10101300011023 is a wasteful number, since it uses less digits than its factorization.

10101300011023 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8206119 (or 8206096 counting only the distinct ones).

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

Adding to 10101300011023 its reverse (32011000310101), we get a palindrome (42112300321124).

The spelling of 10101300011023 in words is "ten trillion, one hundred one billion, three hundred million, eleven thousand, twenty-three".