813070103040 has 1920 divisors, whose sum is σ = 3444319549440. Its totient is φ = 180486144000.

The previous prime is 813070102979. The next prime is 813070103051. The reversal of 813070103040 is 40301070318.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×813070103040² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 813070102995 and 813070103013.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8050198990 + ... + 8050199090.

It is an arithmetic number, because the mean of its divisors is an integer number (1793916432).

Almost surely, 2^813070103040 is an apocalyptic number.

813070103040 is a gapful number since it is divisible by the number (80) 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 813070103040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1722159774720).

813070103040 is an abundant number, since it is smaller than the sum of its proper divisors (2631249446400).

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

813070103040 is a wasteful number, since it uses less digits than its factorization.

813070103040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

Adding to 813070103040 its reverse (40301070318), we get a palindrome (853371173358).

The spelling of 813070103040 in words is "eight hundred thirteen billion, seventy million, one hundred three thousand, forty".