101001131 has 64 divisors (see below), whose sum is σ = 145981440. Its totient is φ = 67392000.

The previous prime is 101001091. The next prime is 101001133. The reversal of 101001131 is 131100101.

It is a cyclic number.

It is not a de Polignac number, because 101001131 - 2⁶ = 101001067 is a prime.

It is a super-2 number, since 2×101001131² = 20402456926558322, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101001133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 770936 + ... + 771066.

It is an arithmetic number, because the mean of its divisors is an integer number (2280960).

Almost surely, 2^101001131 is an apocalyptic number.

101001131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101001131 is a deficient number, since it is larger than the sum of its proper divisors (44980309).

101001131 is a wasteful number, since it uses less digits than its factorization.

101001131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216.

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

The square root of 101001131 is about 10049.9318903165. The cubic root of 101001131 is about 465.7026890834.

Adding to 101001131 its reverse (131100101), we get a palindrome (232101232).

The spelling of 101001131 in words is "one hundred one million, one thousand, one hundred thirty-one".