1301312123100 has 288 divisors, whose sum is σ = 4586748096000. Its totient is φ = 313882905600.

The previous prime is 1301312123039. The next prime is 1301312123119. The reversal of 1301312123100 is 13212131031.

1301312123100 is a `hidden beast` number, since 1 + 30 + 1 + 312 + 12 + 310 + 0 = 666.

It is a super-2 number, since 2×1301312123100² (a number of 25 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 95 ways as a sum of consecutive naturals, for example, 5800212 + ... + 6020388.

Almost surely, 2^{1301312123100} is an apocalyptic number.

1301312123100 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 1301312123100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2293374048000).

1301312123100 is an abundant number, since it is smaller than the sum of its proper divisors (3285435972900).

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

1301312123100 is a wasteful number, since it uses less digits than its factorization.

1301312123100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220410 (or 220397 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1301312123100 its reverse (13212131031), we get a palindrome (1314524254131).

The spelling of 1301312123100 in words is "one trillion, three hundred one billion, three hundred twelve million, one hundred twenty-three thousand, one hundred".