61315310133340 has 96 divisors (see below), whose sum is σ = 137617944698304. Its totient is φ = 22866452152320.

The previous prime is 61315310133307. The next prime is 61315310133353. The reversal of 61315310133340 is 4333101351316.

It is a super-4 number, since 4×61315310133340⁴ (a number of 56 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 61315310133296 and 61315310133305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 957525964 + ... + 957589996.

It is an arithmetic number, because the mean of its divisors is an integer number (1433520257274).

Almost surely, 2^{61315310133340} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61315310133340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68808972349152).

61315310133340 is an abundant number, since it is smaller than the sum of its proper divisors (76302634564964).

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

61315310133340 is a wasteful number, since it uses less digits than its factorization.

61315310133340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90487 (or 90485 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 34.

Adding to 61315310133340 its reverse (4333101351316), we get a palindrome (65648411484656).

The spelling of 61315310133340 in words is "sixty-one trillion, three hundred fifteen billion, three hundred ten million, one hundred thirty-three thousand, three hundred forty".