102013431531440 has 640 divisors, whose sum is σ = 291419725943808. Its totient is φ = 32709842288640.

The previous prime is 102013431531419. The next prime is 102013431531461. The reversal of 102013431531440 is 44135134310201.

It is an interprime number because it is at equal distance from previous prime (102013431531419) and next prime (102013431531461).

It is a junction number, because it is equal to n+sod(n) for n = 102013431531397 and 102013431531406.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8706440462 + ... + 8706452178.

Almost surely, 2^{102013431531440} is an apocalyptic number.

102013431531440 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 102013431531440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145709862971904).

102013431531440 is an abundant number, since it is smaller than the sum of its proper divisors (189406294412368).

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

102013431531440 is a wasteful number, since it uses less digits than its factorization.

102013431531440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12165 (or 12159 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

Adding to 102013431531440 its reverse (44135134310201), we get a palindrome (146148565841641).

The spelling of 102013431531440 in words is "one hundred two trillion, thirteen billion, four hundred thirty-one million, five hundred thirty-one thousand, four hundred forty".