1301331131100 has 1152 divisors, whose sum is σ = 5668097218560. Its totient is φ = 247339008000.

The previous prime is 1301331131099. The next prime is 1301331131119. The reversal of 1301331131100 is 11311331031.

1301331131100 is a `hidden beast` number, since 1 + 30 + 13 + 311 + 311 + 0 + 0 = 666.

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 383 ways as a sum of consecutive naturals, for example, 305402970 + ... + 305407230.

It is an arithmetic number, because the mean of its divisors is an integer number (4920223280).

Almost surely, 2^{1301331131100} is an apocalyptic number.

1301331131100 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 1301331131100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2834048609280).

1301331131100 is an abundant number, since it is smaller than the sum of its proper divisors (4366766087460).

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

1301331131100 is a wasteful number, since it uses less digits than its factorization.

1301331131100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4428 (or 4415 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

Adding to 1301331131100 its reverse (11311331031), we get a palindrome (1312642462131).

It can be divided in two parts, 13013 and 31131100, that added together give a palindrome (31144113).

The spelling of 1301331131100 in words is "one trillion, three hundred one billion, three hundred thirty-one million, one hundred thirty-one thousand, one hundred".