1301021400 has 192 divisors, whose sum is σ = 4656487680. Its totient is φ = 294336000.

The previous prime is 1301021399. The next prime is 1301021413. The reversal of 1301021400 is 41201031.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 422667 + ... + 425733.

It is an arithmetic number, because the mean of its divisors is an integer number (24252540).

Almost surely, 2^1301021400 is an apocalyptic number.

1301021400 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 1301021400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2328243840).

1301021400 is an abundant number, since it is smaller than the sum of its proper divisors (3355466280).

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

1301021400 is a wasteful number, since it uses less digits than its factorization.

1301021400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3194 (or 3185 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 1301021400 is about 36069.6742430535. The cubic root of 1301021400 is about 1091.6786412325.

Adding to 1301021400 its reverse (41201031), we get a palindrome (1342222431).

The spelling of 1301021400 in words is "one billion, three hundred one million, twenty-one thousand, four hundred".