101341343023040 has 112 divisors (see below), whose sum is σ = 249957643543200. Its totient is φ = 39088991219712.

The previous prime is 101341343023033. The next prime is 101341343023153. The reversal of 101341343023040 is 40320343143101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a junction number, because it is equal to n+sod(n) for n = 101341343022994 and 101341343023012.

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, 365366 + ... + 14241354.

Almost surely, 2^{101341343023040} is an apocalyptic number.

101341343023040 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 101341343023040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124978821771600).

101341343023040 is an abundant number, since it is smaller than the sum of its proper divisors (148616300520160).

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

101341343023040 is a wasteful number, since it uses less digits than its factorization.

101341343023040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13876822 (or 13876812 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 29.

Adding to 101341343023040 its reverse (40320343143101), we get a palindrome (141661686166141).

The spelling of 101341343023040 in words is "one hundred one trillion, three hundred forty-one billion, three hundred forty-three million, twenty-three thousand, forty".