1303152105400 has 192 divisors, whose sum is σ = 3237671347200. Its totient is φ = 486079856640.

The previous prime is 1303152105371. The next prime is 1303152105407. The reversal of 1303152105400 is 45012513031.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1303152105407) 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, 421867056 + ... + 421870144.

It is an arithmetic number, because the mean of its divisors is an integer number (16862871600).

Almost surely, 2^{1303152105400} is an apocalyptic number.

1303152105400 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 1303152105400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1618835673600).

1303152105400 is an abundant number, since it is smaller than the sum of its proper divisors (1934519241800).

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

1303152105400 is a wasteful number, since it uses less digits than its factorization.

1303152105400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4226 (or 4217 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

Adding to 1303152105400 its reverse (45012513031), we get a palindrome (1348164618431).

The spelling of 1303152105400 in words is "one trillion, three hundred three billion, one hundred fifty-two million, one hundred five thousand, four hundred".