101431321410 has 32 divisors (see below), whose sum is σ = 251287921152. Its totient is φ = 26175824640.

The previous prime is 101431321361. The next prime is 101431321451. The reversal of 101431321410 is 14123134101.

It is an unprimeable number.

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, 54532039 + ... + 54533898.

It is an arithmetic number, because the mean of its divisors is an integer number (7852747536).

Almost surely, 2^101431321410 is an apocalyptic number.

101431321410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101431321410 is an abundant number, since it is smaller than the sum of its proper divisors (149856599742).

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

101431321410 is a wasteful number, since it uses less digits than its factorization.

101431321410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109065978.

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 101431321410 its reverse (14123134101), we get a palindrome (115554455511).

The spelling of 101431321410 in words is "one hundred one billion, four hundred thirty-one million, three hundred twenty-one thousand, four hundred ten".