61231542136100 has 108 divisors (see below), whose sum is σ = 154704296830356. Its totient is φ = 20974875022080.

The previous prime is 61231542136099. The next prime is 61231542136109. The reversal of 61231542136100 is 163124513216.

It can be written as a sum of positive squares in 6 ways, for example, as 10000533419044 + 51231008717056 = 3162362^2 + 7157584^2 .

It is a Harshad number since it is a multiple of its sum of digits (35).

It is not an unprimeable number, because it can be changed into a prime (61231542136109) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 120359 + ... + 11066958.

Almost surely, 2^{61231542136100} 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 61231542136100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77352148415178).

61231542136100 is an abundant number, since it is smaller than the sum of its proper divisors (93472754694256).

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

61231542136100 is a wasteful number, since it uses less digits than its factorization.

61231542136100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11188462 (or 11188448 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 35.

Adding to 61231542136100 its reverse (163124513216), we get a palindrome (61394666649316).

The spelling of 61231542136100 in words is "sixty-one trillion, two hundred thirty-one billion, five hundred forty-two million, one hundred thirty-six thousand, one hundred".