101132431010 has 32 divisors (see below), whose sum is σ = 207573175152. Its totient is φ = 35144663040.

The previous prime is 101132431009. The next prime is 101132431021. The reversal of 101132431010 is 10134231101.

It can be written as a sum of positive squares in 8 ways, for example, as 70053914329 + 31078516681 = 264677^2 + 176291^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 101132431010.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22878431 + ... + 22882850.

Almost surely, 2^101132431010 is an apocalyptic number.

101132431010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101132431010 is an abundant number, since it is smaller than the sum of its proper divisors (106440744142).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101132431010 is a wasteful number, since it uses less digits than its factorization.

101132431010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45761318.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 101132431010 its reverse (10134231101), we get a palindrome (111266662111).

The spelling of 101132431010 in words is "one hundred one billion, one hundred thirty-two million, four hundred thirty-one thousand, ten".