101431433040 has 80 divisors (see below), whose sum is σ = 359357083008. Its totient is φ = 23184327168.

The previous prime is 101431433039. The next prime is 101431433083. The reversal of 101431433040 is 40334134101.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 101431433040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30186247 + ... + 30189606.

Almost surely, 2^101431433040 is an apocalyptic number.

101431433040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101431433040 is an abundant number, since it is smaller than the sum of its proper divisors (257925649968).

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

101431433040 is a wasteful number, since it uses less digits than its factorization.

101431433040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60375876 (or 60375870 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 101431433040 its reverse (40334134101), we get a palindrome (141765567141).

The spelling of 101431433040 in words is "one hundred one billion, four hundred thirty-one million, four hundred thirty-three thousand, forty".