101431021314103 has 64 divisors (see below), whose sum is σ = 116574332636160. Its totient is φ = 87543794055168.

The previous prime is 101431021314059. The next prime is 101431021314109. The reversal of 101431021314103 is 301413120134101.

It is not a de Polignac number, because 101431021314103 - 2²⁹ = 101430484443191 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101431021314109) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2132268703 + ... + 2132316271.

It is an arithmetic number, because the mean of its divisors is an integer number (1821473947440).

Almost surely, 2^{101431021314103} is an apocalyptic number.

101431021314103 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

101431021314103 is a deficient number, since it is larger than the sum of its proper divisors (15143311322057).

101431021314103 is a wasteful number, since it uses less digits than its factorization.

101431021314103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48488.

The product of its (nonzero) digits is 864, while the sum is 25.

Adding to 101431021314103 its reverse (301413120134101), we get a palindrome (402844141448204).

The spelling of 101431021314103 in words is "one hundred one trillion, four hundred thirty-one billion, twenty-one million, three hundred fourteen thousand, one hundred three".