101431233305040 has 160 divisors (see below), whose sum is σ = 323107584719616. Its totient is φ = 26303237775360.

The previous prime is 101431233305029. The next prime is 101431233305191. The reversal of 101431233305040 is 40503332134101.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 101431233304989 and 101431233305007.

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, 13583005 + ... + 19681475.

Almost surely, 2^{101431233305040} is an apocalyptic number.

101431233305040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101431233305040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161553792359808).

101431233305040 is an abundant number, since it is smaller than the sum of its proper divisors (221676351414576).

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

101431233305040 is a wasteful number, since it uses less digits than its factorization.

101431233305040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6100397 (or 6100391 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

Adding to 101431233305040 its reverse (40503332134101), we get a palindrome (141934565439141).

The spelling of 101431233305040 in words is "one hundred one trillion, four hundred thirty-one billion, two hundred thirty-three million, three hundred five thousand, forty".