1313110201032 has 192 divisors, whose sum is σ = 4152788640000. Its totient is φ = 374681051136.

The previous prime is 1313110201031. The next prime is 1313110201037. The reversal of 1313110201032 is 2301020113131.

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

It is a junction number, because it is equal to n+sod(n) for n = 1313110200996 and 1313110201014.

It is not an unprimeable number, because it can be changed into a prime (1313110201031) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18956653 + ... + 19025795.

It is an arithmetic number, because the mean of its divisors is an integer number (21629107500).

Almost surely, 2^{1313110201032} is an apocalyptic number.

1313110201032 is a gapful number since it is divisible by the number (12) 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 1313110201032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2076394320000).

1313110201032 is an abundant number, since it is smaller than the sum of its proper divisors (2839678438968).

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

1313110201032 is a wasteful number, since it uses less digits than its factorization.

1313110201032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69945 (or 69924 counting only the distinct ones).

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

Adding to 1313110201032 its reverse (2301020113131), we get a palindrome (3614130314163).

The spelling of 1313110201032 in words is "one trillion, three hundred thirteen billion, one hundred ten million, two hundred one thousand, thirty-two".