101213100342431 has 32 divisors (see below), whose sum is σ = 128093314252800. Its totient is φ = 77676787663200.

The previous prime is 101213100342371. The next prime is 101213100342463. The reversal of 101213100342431 is 134243001312101.

It is a de Polignac number, because none of the positive numbers 2^k-101213100342431 is a prime.

It is a super-2 number, since 2×101213100342431² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 101213100342431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101213106342431) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28181870 + ... + 31569668.

It is an arithmetic number, because the mean of its divisors is an integer number (4002916070400).

Almost surely, 2^{101213100342431} is an apocalyptic number.

101213100342431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101213100342431 is a deficient number, since it is larger than the sum of its proper divisors (26880213910369).

101213100342431 is a wasteful number, since it uses less digits than its factorization.

101213100342431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3393675.

The product of its (nonzero) digits is 1728, while the sum is 26.

Adding to 101213100342431 its reverse (134243001312101), we get a palindrome (235456101654532).

The spelling of 101213100342431 in words is "one hundred one trillion, two hundred thirteen billion, one hundred million, three hundred forty-two thousand, four hundred thirty-one".