61101317000 has 128 divisors (see below), whose sum is σ = 149509152000. Its totient is φ = 23328448000.

The previous prime is 61101316979. The next prime is 61101317003. The reversal of 61101317000 is 71310116.

61101317000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (61101317003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11980451 + ... + 11985549.

It is an arithmetic number, because the mean of its divisors is an integer number (1168040250).

Almost surely, 2^61101317000 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 61101317000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74754576000).

61101317000 is an abundant number, since it is smaller than the sum of its proper divisors (88407835000).

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

61101317000 is a wasteful number, since it uses less digits than its factorization.

61101317000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5664 (or 5650 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 20.

Adding to 61101317000 its reverse (71310116), we get a palindrome (61172627116).

The spelling of 61101317000 in words is "sixty-one billion, one hundred one million, three hundred seventeen thousand".