1013430310040 has 256 divisors, whose sum is σ = 2466967104000. Its totient is φ = 373911552000.

The previous prime is 1013430310027. The next prime is 1013430310073. The reversal of 1013430310040 is 400130343101.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1013430309994 and 1013430310021.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 786213716 + ... + 786215004.

It is an arithmetic number, because the mean of its divisors is an integer number (9636590250).

Almost surely, 2^{1013430310040} is an apocalyptic number.

1013430310040 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 1013430310040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1233483552000).

1013430310040 is an abundant number, since it is smaller than the sum of its proper divisors (1453536793960).

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

1013430310040 is a wasteful number, since it uses less digits than its factorization.

1013430310040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1702 (or 1698 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 1013430310040 its reverse (400130343101), we get a palindrome (1413560653141).

The spelling of 1013430310040 in words is "one trillion, thirteen billion, four hundred thirty million, three hundred ten thousand, forty".