101142413143320 has 128 divisors (see below), whose sum is σ = 319829301216000. Its totient is φ = 25517190965760.

The previous prime is 101142413143319. The next prime is 101142413143391. The reversal of 101142413143320 is 23341314241101.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28329091 + ... + 31698930.

It is an arithmetic number, because the mean of its divisors is an integer number (2498666415750).

Almost surely, 2^{101142413143320} is an apocalyptic number.

101142413143320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101142413143320 is an abundant number, since it is smaller than the sum of its proper divisors (218686888072680).

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

101142413143320 is a wasteful number, since it uses less digits than its factorization.

101142413143320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60028793 (or 60028789 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

Adding to 101142413143320 its reverse (23341314241101), we get a palindrome (124483727384421).

The spelling of 101142413143320 in words is "one hundred one trillion, one hundred forty-two billion, four hundred thirteen million, one hundred forty-three thousand, three hundred twenty".