101131024121344 has 60 divisors (see below), whose sum is σ = 235054653579504. Its totient is φ = 43341867469824.

The previous prime is 101131024121339. The next prime is 101131024121383. The reversal of 101131024121344 is 443121420131101.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2015500744 + ... + 2015550919.

Almost surely, 2^{101131024121344} is an apocalyptic number.

101131024121344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

101131024121344 is an abundant number, since it is smaller than the sum of its proper divisors (133923629458160).

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

101131024121344 is an frugal number, since it uses more digits than its factorization.

101131024121344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4031051695 (or 4031051672 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

Adding to 101131024121344 its reverse (443121420131101), we get a palindrome (544252444252445).

The spelling of 101131024121344 in words is "one hundred one trillion, one hundred thirty-one billion, twenty-four million, one hundred twenty-one thousand, three hundred forty-four".