10100001131 has 16 divisors (see below), whose sum is σ = 11403328608. Its totient is φ = 8865484800.

The previous prime is 10100001103. The next prime is 10100001137. The reversal of 10100001131 is 13110000101.

It is a cyclic number.

It is not a de Polignac number, because 10100001131 - 2²² = 10095806827 is a prime.

It is a super-2 number, since 2×10100001131² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10100001137) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71690 + ... + 159183.

It is an arithmetic number, because the mean of its divisors is an integer number (712708038).

Almost surely, 2^10100001131 is an apocalyptic number.

10100001131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10100001131 is a deficient number, since it is larger than the sum of its proper divisors (1303327477).

10100001131 is a wasteful number, since it uses less digits than its factorization.

10100001131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231022.

The product of its (nonzero) digits is 3, while the sum is 8.

Adding to 10100001131 its reverse (13110000101), we get a palindrome (23210001232).

The spelling of 10100001131 in words is "ten billion, one hundred million, one thousand, one hundred thirty-one".