101000133031 has 16 divisors (see below), whose sum is σ = 116511038784. Its totient is φ = 85760607744.

The previous prime is 101000133007. The next prime is 101000133037. The reversal of 101000133031 is 130331000101.

It is a happy number.

It is not a de Polignac number, because 101000133031 - 2⁷ = 101000132903 is a prime.

It is a super-2 number, since 2×101000133031² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101000133037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1528285 + ... + 1593001.

It is an arithmetic number, because the mean of its divisors is an integer number (7281939924).

Almost surely, 2^101000133031 is an apocalyptic number.

101000133031 is a deficient number, since it is larger than the sum of its proper divisors (15510905753).

101000133031 is a wasteful number, since it uses less digits than its factorization.

101000133031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66810.

The product of its (nonzero) digits is 27, while the sum is 13.

Adding to 101000133031 its reverse (130331000101), we get a palindrome (231331133132).

The spelling of 101000133031 in words is "one hundred one billion, one hundred thirty-three thousand, thirty-one".