1030431314000 has 160 divisors (see below), whose sum is σ = 2718885087360. Its totient is φ = 374592768000.

The previous prime is 1030431313991. The next prime is 1030431314039. The reversal of 1030431314000 is 4131340301.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 146802491 + ... + 146809509.

It is an arithmetic number, because the mean of its divisors is an integer number (16993031796).

Almost surely, 2^{1030431314000} is an apocalyptic number.

1030431314000 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 1030431314000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1359442543680).

1030431314000 is an abundant number, since it is smaller than the sum of its proper divisors (1688453773360).

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

1030431314000 is a wasteful number, since it uses less digits than its factorization.

1030431314000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13726 (or 13710 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 1030431314000 its reverse (4131340301), we get a palindrome (1034562654301).

It can be divided in two parts, 1030431 and 314000, that added together give a palindrome (1344431).

The spelling of 1030431314000 in words is "one trillion, thirty billion, four hundred thirty-one million, three hundred fourteen thousand".