61201413000000 has 5880 divisors, whose sum is σ = 307374483056256. Its totient is φ = 11701324800000.

The previous prime is 61201412999957. The next prime is 61201413000107. The reversal of 61201413000000 is 31410216.

It is a happy number.

It is a super-2 number, since 2×61201413000000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 839 ways as a sum of consecutive naturals, for example, 2660930999989 + ... + 2660931000011.

Almost surely, 2^{61201413000000} is an apocalyptic number.

61201413000000 is a gapful number since it is divisible by the number (60) 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 61201413000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153687241528128).

61201413000000 is an abundant number, since it is smaller than the sum of its proper divisors (246173070056256).

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

61201413000000 is an equidigital number, since it uses as much as digits as its factorization.

61201413000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 61201413000000 its reverse (31410216), we get a palindrome (61201444410216).

The spelling of 61201413000000 in words is "sixty-one trillion, two hundred one billion, four hundred thirteen million", and thus it is an aban number.